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Simplifying 7v + -4 = -5(v + -4) Reorder the terms: -4 + 7v = -5(v + -4) Reorder the terms: -4 + 7v = -5(-4 + v) -4 + 7v = (-4 * -5 + v * -5) -4 + 7v = (20 + -5v) Solving -4 + 7v = 20 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -4 + 7v + 5v = 20 + -5v + 5v Combine like terms: 7v + 5v = 12v -4 + 12v = 20 + -5v + 5v Combine like terms: -5v + 5v = 0 -4 + 12v = 20 + 0 -4 + 12v = 20 Add '4' to each side of the equation. -4 + 4 + 12v = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 12v = 20 + 4 12v = 20 + 4 Combine like terms: 20 + 4 = 24 12v = 24 Divide each side by '12'. v = 2 Simplifying v = 2
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